Math, asked by sajneeranarana, 6 months ago

simplify the equation
3a-2 (2a-5)=2 (a+3)-8​

Answers

Answered by disharaisinghani123
3

Step-by-step explanation:

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Attachments:
Answered by sumeDha54
7

Answer:

Simplifying

3a + -2(2a + -5) = 2(a + 3) + -8

Reorder the terms:

3a + -2(-5 + 2a) = 2(a + 3) + -8

3a + (-5 * -2 + 2a * -2) = 2(a + 3) + -8

3a + (10 + -4a) = 2(a + 3) + -8

Reorder the terms:

10 + 3a + -4a = 2(a + 3) + -8

Combine like terms: 3a + -4a = -1a

10 + -1a = 2(a + 3) + -8

Reorder the terms:

10 + -1a = 2(3 + a) + -8

10 + -1a = (3 * 2 + a * 2) + -8

10 + -1a = (6 + 2a) + -8

Reorder the terms:

10 + -1a = 6 + -8 + 2a

Combine like terms: 6 + -8 = -2

10 + -1a = -2 + 2a

Solving

10 + -1a = -2 + 2a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2a' to each side of the equation.

10 + -1a + -2a = -2 + 2a + -2a

Combine like terms: -1a + -2a = -3a

10 + -3a = -2 + 2a + -2a

Combine like terms: 2a + -2a = 0

10 + -3a = -2 + 0

10 + -3a = -2

Add '-10' to each side of the equation.

10 + -10 + -3a = -2 + -10

Combine like terms: 10 + -10 = 0

0 + -3a = -2 + -10

-3a = -2 + -10

Combine like terms: -2 + -10 = -12

-3a = -12

Divide each side by '-3'.

a = 4

Simplifying

a = 4

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